Soft Matter and Complex Systems Seminar

A boundary efficient and accurate method is proposed and numerically worked out to calculate, in the creeping flow regime, the resistance matrix of a cluster made of N arbitrarily-shaped slip solid bodies. The slip on each body curved surface is modeled using the widely-employed Navier slip condition and there is no restriction on the number N of bodies. Moreover, the task reduces to the treatment of 6N boundary-integral equations on the cluster surface and it is no use calculating the Stokes flow about the moving particles. Comparisons with the literature for one sphere (singularity method) and for two-interacting spheres (multipole method) will be presented. Finally, some numerical results for slip ellipsoids and the gravity-driven motion of two slip interacting spheres will be given and discussed.